Functions Quiz - CBSE Class 11 Mathematics

Free practice quiz: Functions (CBSE Class 11 Mathematics). 18 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. Which of the following is a function?

   1. y = 2x + 3
   2. x^2 + y^2 = 1
   3. x = y^2
   4. (x-2)(x+3) = 0
   Show answer

   Answer: A. y = 2x + 3

   A function is a relation where every input (x-value) has exactly one output (y-value). The equation y = 2x + 3 is a linear function, which is an example of such a relation.

2. If f(x) = 3x + 2, find f^-1(x).

   1. x/3 - 2
   2. (x - 2)/3
   3. 3x - 2
   4. x + 2/3
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   Answer: B. (x - 2)/3

   To find the inverse function f^-1(x), we solve the equation y = 3x + 2 for x in terms of y: x = (y - 2)/3. Thus, f^-1(x) = (x - 2)/3.

3. Given f(x) = x^2 - 4, find f(3).

   1. 9
   2. 5
   3. -5
   4. 0
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   Answer: B. 5

   To find f(3), substitute x with 3 in the function: f(3) = 3^2 - 4 = 9 - 4 = 5.

4. What are f(x) = |x| characteristics?

   1. Injective only
   2. Continuous but not differentiable at x = 0
   3. Differentiable everywhere
   4. Periodic
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   Answer: B. Continuous but not differentiable at x = 0

   The absolute function f(x) = |x| is continuous everywhere but not differentiable at x = 0 because of a sharp point.

5. Determine the range of f(x) = x^2 for all real x.

   1. [-∞, ∞]
   2. [0, ∞)
   3. (-∞, 0]
   4. (0, ∞)
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   Answer: B. [0, ∞)

   The range of f(x) = x^2 is [0, ∞) because squaring any real x gives a value that is non-negative.

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